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Finding the Fourth Proportional to 6,832.68, 10,242.62 and 3,708.10

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Solution

The fourth proportional to 6,832.68, 10,242.62 and 3,708.10 is: 5,558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.68 : 10,242.62 = 3,708.10 : x
  2. Step 2: Convert to fraction form
    6,832.68/10,242.62 = 3,708.10/x
  3. Step 3: Cross multiply
    6,832.68x = 10,242.62 × 3,708.10
  4. Step 4: Simplify right side
    6,832.68x = 37,980,659.22
  5. Step 5: Solve for x
    x = 37,980,659.22/6,832.68
  6. Step 6: Final answer
    x = 5,558.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.